doi:10.1007/s44198-022-00037-wengCariñena, J. F.Martínez, E.Muñoz-Lecanda, M. C.Infinitesimal Time Reparametrisation and Its ApplicationsART-2022-128069A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by mechanical type Lagrangians. The Jacobi metric appears as a particular case of a Sundman transformation. © 2022, The Author(s).2022http://zaguan.unizar.es/record/11210310.1007/s44198-022-00037-whttp://zaguan.unizar.es/record/112103oai:zaguan.unizar.es:112103info:eu-repo/grantAgreement/ES/DGA/E48-20Rinfo:eu-repo/grantAgreement/ES/MICINN/PGC2018-098265-B-C31info:eu-repo/grantAgreement/ES/MINECO/PGC2018-098265-B-C33JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 29 (2022), 523–555by-nchttp://creativecommons.org/licenses/by-nc/3.0/es/info:eu-repo/semantics/openAccess